Can't unlock your Samsung Galaxy S4 to access the data due to the broken screen? Dr.Fone for Android helps you to copy all the data like contacts, videos, whatsapp messages, etc. off your phone to computer without touching the screen.
http://www.youtube.com/watch?v=EU19_EA-ljU [youtube.com]

My Samsung Galaxy Phone is Broken
There are so many ways that people can break their Android phones, from accident dropping, water damage to many other unimaginable scenarios. Even though the ways are completely different, they are in consensus at the result: My Samsung phone is broken.
How to Retrieve Data from Broken Samsung Galaxy
This question arises when your phone is broken/damaged/smashed/cracked. A broken phone can cause huge panic for losing precious data. But with Android Data Recovery [android-rescuer.com], you don't have to worry. Android data recovery has special advanced functionality to detect your Samsung phone even if it is broken. With the help of this program, you can effortlessly retrieve files such as recover deleted photos from samsung galaxy [android-rescuer.com], music, videos, contacts, text messages, documents from Samsung phones and tablets, like Galaxy S5 and Note 4. Generally, you can recover data from broken Samsung Galaxy phones with broken screen, black screen, touch screen not work, can’t enter system.

Lost data from the phone, the first thing, check out the backup, whether you have synced the data to Gmail account, or saved on your pc.
Then, you should never add more data to your phone after data loss, cuz they can take up more space, the lost data will be overwritten.
Last thing, you can try recovery methods, Recuva, you can also try professional android data recovery [mobikin.com] programs.
Samsung photo recovery [mobikin.com].

If you cannot disply the phone and the touch is not working, I not sure if you can get the data back, since the samsung [amazon.com]data recovery tool need to Enable USB Debugging before Launching. Some guide on samsung data recovery:
samsung photo recovery [android-mobile-manager.com]
samsung contacts recovery [android-mobile-manager.com]

How to recover data from Samsung galaxy ? Samsung Recovery software [samsung-recovery.net] can do this for you perfectly. Samsung Recovery software can help retrieve
pictures, videos, documents and other data from android phone.You are allowed to preview all the scanned out data and select which files to be recovered.
How to recover deleted text messages from samsung galaxy s4 [samsung-recovery.net]